{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-03-03T04:16:13.786974Z",
     "start_time": "2020-03-03T04:16:13.306065Z"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.utils import shuffle\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "\n",
    "MAX_ITERATION = 10000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-03-03T04:16:14.432824Z",
     "start_time": "2020-03-03T04:16:14.402906Z"
    }
   },
   "outputs": [],
   "source": [
    "def data_generator(mean1, cov1, mean2, cov2, num):\n",
    "    np.random.seed(0)\n",
    "    X = np.random.multivariate_normal(mean1, cov1, num//2)\n",
    "    np.random.seed(1)\n",
    "    y = np.full(num//2, -1, dtype=int)\n",
    "    X_ = np.random.multivariate_normal(mean2, cov2, num-num//2)\n",
    "    y_ = np.full(num-num//2, 1, dtype=int)\n",
    "    X1 = np.concatenate((X, X_), axis=0)\n",
    "    y1 = np.concatenate((y, y_))\n",
    "\n",
    "    return shuffle(X1, y1)\n",
    "\n",
    "\n",
    "def drawer(X, y, w1, w2):\n",
    "    fig, ax = plt.subplots(1, 2, figsize=(15, 5))\n",
    "\n",
    "    for i in range(len(y)):\n",
    "        if y[i] == 1:\n",
    "            ax[0].scatter(X[i, 0], X[i, 1], c='r', marker='o')\n",
    "        else:\n",
    "            ax[0].scatter(X[i, 0], X[i, 1], c='b', marker='x')\n",
    "\n",
    "    l_x = np.linspace(np.min(X), np.max(X), X.shape[0])\n",
    "    l_y = -(w1[0]/w1[2]+w1[1]/w1[2]*l_x)\n",
    "    ax[0].plot(l_x, l_y)\n",
    "    xy_max = np.max(X, axis=0)\n",
    "    ax[0].set(xlim=(-xy_max[0]-1, xy_max[0]+1), ylim=(-xy_max[1]-1, xy_max[1]+1),\n",
    "              xlabel=\"x\",\n",
    "              ylabel=\"y\",\n",
    "              title=\"SSErr\")\n",
    "\n",
    "    for i in range(len(y)):\n",
    "        if y[i] == 1:\n",
    "            ax[1].scatter(X[i, 0], X[i, 1], c='r', marker='o')\n",
    "        else:\n",
    "            ax[1].scatter(X[i, 0], X[i, 1], c='b', marker='x')\n",
    "\n",
    "    l_x = np.linspace(np.min(X), np.max(X), X.shape[0])\n",
    "    l_y = -(w2[0]/w2[2]+w2[1]/w2[2]*l_x)\n",
    "    ax[1].plot(l_x, l_y)\n",
    "    xy_max = np.max(X, axis=0)\n",
    "    ax[1].set(xlim=(-xy_max[0]-1, xy_max[0]+1), ylim=(-xy_max[1]-1, xy_max[1]+1),\n",
    "              xlabel=\"x\",\n",
    "              ylabel=\"y\",\n",
    "              title=\"LMSalg\")\n",
    "\n",
    "\n",
    "def SSErr(X, y):\n",
    "    X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n",
    "\n",
    "    X_ = np.dot(np.linalg.pinv(np.dot(X.T, X)), X.T)\n",
    "    w = np.dot(X_, y)\n",
    "\n",
    "    h = np.sign(np.dot(X, w))\n",
    "    mistake_indices = np.where(h != y)[0]\n",
    "    mistake_num = len(mistake_indices)\n",
    "    MSE = 1/(X.shape[0]) * (np.linalg.norm(np.dot(X, w) - y))**2\n",
    "    print('Final weight vector of SSErr is', w)\n",
    "    print('MSE of SSErr is', MSE)\n",
    "    print('Accuracy of SSErr is %.2f%%' %\n",
    "          (100*(X.shape[0]-mistake_num)/X.shape[0]))\n",
    "    return w\n",
    "\n",
    "\n",
    "def LMSalg(X, y, w_init, max_iter, lr=0.001, eps=1e-5):\n",
    "    w = w_init\n",
    "    X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n",
    "\n",
    "    for i in range(max_iter):\n",
    "        for j in range(X.shape[0]):\n",
    "            diff = (np.dot(X[j], w) - y[j])*X[j]\n",
    "            w_ = w - lr * diff\n",
    "\n",
    "            delta = np.linalg.norm(w - w_)\n",
    "            if delta < eps:\n",
    "                break\n",
    "            else:\n",
    "                w = w_\n",
    "\n",
    "    h = np.sign(np.dot(X, w))\n",
    "    mistake_indices = np.where(h != y)[0]\n",
    "    mistake_num = len(mistake_indices)\n",
    "    MSE = 1/(X.shape[0]) * (np.linalg.norm(np.dot(X, w) - y))**2\n",
    "    print('Initial weight vector of LMSalg is', w_init)\n",
    "    print('Final weight vector of LMSalg is', w)\n",
    "    print('MSE of LMSalg is', MSE)\n",
    "    print('Accuracy of LMSalg is %.2f%%' %\n",
    "          (100*(X.shape[0]-mistake_num)/X.shape[0]))\n",
    "    return w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-03-03T04:20:45.724298Z",
     "start_time": "2020-03-03T04:20:29.190766Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Final weight vector of SSErr is [-0.0006422   0.18995973  0.01604448]\n",
      "MSE of SSErr is 0.03611790500941601\n",
      "Accuracy of SSErr is 100.00%\n",
      "Initial weight vector of LMSalg is [ 0.94251136 -0.61963218 -0.2191084 ]\n",
      "Final weight vector of LMSalg is [0.00161835 0.19430329 0.02276712]\n",
      "MSE of LMSalg is 0.03666787546545437\n",
      "Accuracy of LMSalg is 100.00%\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X1, y1 = data_generator([-5, 0], np.identity(2), [5, 0], np.identity(2), 400)\n",
    "np.random.seed()\n",
    "w_init = np.random.randn(3)\n",
    "\n",
    "w1 = SSErr(X1, y1)\n",
    "w2 = LMSalg(X1, y1, w_init, MAX_ITERATION)\n",
    "drawer(X1, y1, w1, w2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-03-03T04:21:04.353870Z",
     "start_time": "2020-03-03T04:20:45.762167Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Final weight vector of SSErr is [-0.00134437  0.39381074  0.03389635]\n",
      "MSE of SSErr is 0.1831782158629068\n",
      "Accuracy of SSErr is 97.75%\n",
      "Initial weight vector of LMSalg is [ 0.01302126  1.1739214  -0.41928666]\n",
      "Final weight vector of LMSalg is [-0.0009965   0.39073042  0.05373968]\n",
      "MSE of LMSalg is 0.1836133893273038\n",
      "Accuracy of LMSalg is 97.50%\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X1, y1 = data_generator([-2, 0], np.identity(2), [2, 0], np.identity(2), 400)\n",
    "np.random.seed()\n",
    "w_init = np.random.randn(3)\n",
    "\n",
    "w1 = SSErr(X1, y1)\n",
    "w2 = LMSalg(X1, y1, w_init, MAX_ITERATION)\n",
    "drawer(X1, y1, w1, w2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-03-03T04:21:15.742298Z",
     "start_time": "2020-03-03T04:21:04.388748Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Final weight vector of SSErr is [-0.00175717  0.50701062  0.04492524]\n",
      "MSE of SSErr is 0.4553883317834238\n",
      "Accuracy of SSErr is 86.50%\n",
      "Initial weight vector of LMSalg is [-0.01063204 -1.93729673  0.46141598]\n",
      "Final weight vector of LMSalg is [-0.02932584  0.51332469  0.10256929]\n",
      "MSE of LMSalg is 0.45929041047590785\n",
      "Accuracy of LMSalg is 86.75%\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X1, y1 = data_generator([-1, 0], np.identity(2), [1, 0], np.identity(2), 400)\n",
    "np.random.seed()\n",
    "w_init = np.random.randn(3)\n",
    "\n",
    "w1 = SSErr(X1, y1)\n",
    "w2 = LMSalg(X1, y1, w_init, MAX_ITERATION)\n",
    "drawer(X1, y1, w1, w2)"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
